Q: What is the total or count of factors of the number 934,164?

 A: 72

How do I find the total factors of the number 934,164?

Step 1

Find the prime factorization of the number 934,164.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
934,164
Factor Arrows
2467,082
Factor Arrows
2233,541
Factor Arrows
377,847
Factor Arrows
325,949
Factor Arrows
73,707
Factor Arrows
11337

The prime factorization in exponential form is: 22 x 32 x 71 x 111 x 3371

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

934,164 = 22 x 32 x 71 x 111 x 3371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(934164) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(934164) = (3)(3)(2)(2)(2)
Down Arrow
d(934164) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 934,164 and how to find them.

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